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Higher Order Derivatives
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Problem 3
Higher Order Derivatives
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3. Techniques of Differentiation / Higher Order Derivatives / Problem 3
Problem 3
Given the differential equation
y
′
y^{\prime}
′
(
t
)
+
9
y
(
t
)
=
0
^{\prime}\left(t\right)+9y\left(t\right)=0
, which function below is a solution to this equation for all
t
t
?
A
y
=
C
sin
3
t
y=C\sin3t
B
y
=
C
cos
t
y=C\cos t
C
y
=
C
e
3
t
y=Ce^{3t}
D
y
=
C
e
−
3
t
y=Ce^{-3t}
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